Theta series and automorphic forms on GL2

Hideo SHIMIZU

doi:10.2969/jmsj/02440638

Theta series and automorphic forms on GL₂

Hideo SHIMIZU

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JOURNAL FREE ACCESS

1972 Volume 24 Issue 4 Pages 638-683

DOI https://doi.org/10.2969/jmsj/02440638

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Published: 1972 Received: January 17, 1972 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M. Eichler, Über die Darstellbarkeit von Modulformen durch Thetareihen, J. Reine Angew. Math., 195 (1955), 156-171.
2) M. Eichler, Quadratische Formen und Modulfunctionen, Acta Arith., 4 (1958), 217-239.
3) R. Godement, A theory of spherical functions, I, Trans. Amer. Math. Soc., 73 (1952), 496-556.
4) R. Godement, Notes on Jacquet-Langlands' theory, Lecture note, Institute for Advanced Study, Princeton, 1970.
5) H. Jacquet and R. P. Langlands, Automorphic forms on GL(2), Lecture note in Mathematics No. 114, Springer, 1970.
6) T. Miyake, On automorphic forms on GL₂ and Hecke operators, Ann. of Math., 94 (1971), 174-189.
7) J. A. Shalika and S. Tanaka, On an explicit construction of a certain class of automorphic forms, Amer. J. Math., 91 (1969), 1049-1076.
8) H. Shimizu, On zeta functions of quaternion algebras, Ann. of Math., 81 (1965), 166-193.
9) G. Shimura, On Dirichlet series and abelian varieties attached to automorphic forms, Ann. of Math., 76 (1962), 237-294.
10) S. Tanaka, On irreducible unitary representations of some special linear groups of the second order, I, Osaka J. Math., 3 (1966), 217-227,
11) A. Weil, Sur certaines groupes d'opérateurs unitaires, Acta Math., 111 (1964) 143-211.

Right : [1] M. Eichler, Über die Darstellbarkeit von Modulformen durch Thetareihen, J. Reine Angew. Math., 195 (1955), 156-171.
[2] M. Eichler, Quadratische Formen und Modulfunctionen, Acta Arith., 4 (1958), 217-239.
[3] R. Godement, A theory of spherical functions, I, Trans. Amer. Math. Soc., 73 (1952), 496-556.
[4] R. Godement, Notes on Jacquet-Langlands' theory, Lecture note, Institute for Advanced Study, Princeton, 1970.
[5] H. Jacquet and R. P. Langlands, Automorphic forms on GL(2), Lecture note in Mathematics No. 114, Springer, 1970.
[6] T. Miyake, On automorphic forms on GL₂ and Hecke operators, Ann. of Math., 94 (1971), 174-189.
[7] J. A. Shalika and S. Tanaka, On an explicit construction of a certain class of automorphic forms, Amer. J. Math., 91 (1969), 1049-1076.
[8] H. Shimizu, On zeta functions of quaternion algebras, Ann. of Math., 81 (1965), 166-193.
[9] G. Shimura, On Dirichlet series and abelian varieties attached to automorphic forms, Ann. of Math., 76 (1962), 237-294.
[10] S. Tanaka, On irreducible unitary representations of some special linear groups of the second order, I, Osaka J. Math., 3 (1966), 217-227.
[11] A. Weil, Sur certaines groupes d'opérateurs unitaires, Acta Math., 111 (1964), 143-211.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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